Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)
Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)
10th Edition
ISBN: 9781305657861
Author: Soo T. Tan
Publisher: Cengage Learning
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Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
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Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…
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Textbook Question
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Chapter 7.4, Problem 52E

PERPETUAL NET INCOME STREAM The perpetual stream of income to be derived from the investment in a proposed new soft drink is assumed to flow continually at the rate of

P(t) = 2 te0 02t

thousand dollars/year. If the prevailing interest rate is assumed to be 5%/year compounded continuously, what is the present value of the investment?

Hint: Use the formula given in Exercise 50.

50. PERPETUAL NET INCOME STREAMS The present value of a perpetual stream of income that flows continually at the rate of P(t) dollars year is given by the formula

P V = ∫ 0 ∞ P ( t )   e − r t   d t

where r is the interest rate compounded continuously. Using this formula, find the present value of a perpetual net income stream that is generated at the rate of

P(t) = 10,000 + 4000t

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Chapter 7 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

Ch. 7.1 - Write the formula for integration by parts.Ch. 7.1 - Prob. 2CQCh. 7.1 - Prob. 1ECh. 7.1 - Prob. 2ECh. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - Prob. 4ECh. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - Prob. 6ECh. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - Prob. 8E
Ch. 7.1 - Prob. 9ECh. 7.1 - Prob. 10ECh. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - Prob. 12ECh. 7.1 - Prob. 13ECh. 7.1 - Prob. 14ECh. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - Prob. 16ECh. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - Prob. 18ECh. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - Prob. 20ECh. 7.1 - Prob. 22ECh. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - Prob. 24ECh. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - Prob. 26ECh. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - Prob. 28ECh. 7.1 - Prob. 29ECh. 7.1 - Prob. 30ECh. 7.1 - Prob. 31ECh. 7.1 - Prob. 32ECh. 7.1 - In Exercises 29-34, evaluate each definite...Ch. 7.1 - Prob. 34ECh. 7.1 - Prob. 35ECh. 7.1 - Prob. 36ECh. 7.1 - Find the area of the region under the graph of...Ch. 7.1 - Prob. 38ECh. 7.1 - VELOCITY of A DRAGSTER The velocity of a dragster...Ch. 7.1 - Prob. 40ECh. 7.1 - Prob. 41ECh. 7.1 - Prob. 42ECh. 7.1 - ALCOHOL-RELATED TRAFFIC ACCIDENTS As a result of...Ch. 7.1 - AVERAGE PRICE OF A COMMODITY The price of a...Ch. 7.1 - DISTANCE COVERED BY A CAR The velocity of the...Ch. 7.1 - Prob. 47ECh. 7.1 - Prob. 48ECh. 7.1 - FUTURE VALUE OF AN INCOME STREAM The chef-owner of...Ch. 7.1 - Prob. 50ECh. 7.1 - RATE OF RETURN ON AN INVESTMENT Suppose an...Ch. 7.1 - Prob. 52ECh. 7.1 - Prob. 55ECh. 7.1 - Prob. 56ECh. 7.1 - Prob. 57ECh. 7.1 - Prob. 58ECh. 7.1 - Prob. 59ECh. 7.1 - Prob. 60ECh. 7.1 - Prob. 61ECh. 7.1 - Prob. 62ECh. 7.2 - In Exercises 1-32, use the table of integrals in...Ch. 7.2 - Prob. 2ECh. 7.2 - In Exercises 1-32, use the table of integrals in...Ch. 7.2 - Prob. 4ECh. 7.2 - Prob. 5ECh. 7.2 - Prob. 6ECh. 7.2 - In Exercises 1-32, use the table of integrals in...Ch. 7.2 - Prob. 8ECh. 7.2 - In Exercises 1-32, use the table of integrals in...Ch. 7.2 - In Exercises 1-32, use the table of integrals in...Ch. 7.2 - Prob. 11ECh. 7.2 - Prob. 12ECh. 7.2 - In Exercises 1-32, use the table of integrals in...Ch. 7.2 - Prob. 14ECh. 7.2 - Prob. 15ECh. 7.2 - Prob. 16ECh. 7.2 - Prob. 17ECh. 7.2 - Prob. 18ECh. 7.2 - In Exercises 1-32, use the table of integrals in...Ch. 7.2 - Prob. 20ECh. 7.2 - Prob. 21ECh. 7.2 - Prob. 22ECh. 7.2 - In Exercises 1-32, use the table of integrals in...Ch. 7.2 - Prob. 24ECh. 7.2 - 4lnxx(2+3)lnxdxCh. 7.2 - Prob. 26ECh. 7.2 - Prob. 27ECh. 7.2 - Prob. 28ECh. 7.2 - In Exercises 1-32, use the table of integrals in...Ch. 7.2 - Prob. 30ECh. 7.2 - Prob. 31ECh. 7.2 - Prob. 32ECh. 7.2 - AMUSEMENT PARK ATTENDANCE The management of...Ch. 7.2 - Prob. 34ECh. 7.2 - GROWTH OF FRUIT FLIES On the basis of data...Ch. 7.2 - Prob. 36ECh. 7.2 - Prob. 37ECh. 7.2 - Prob. 38ECh. 7.2 - PRODUCERS' SURPLUS FOR WOMEN'S BOOTS Refer to...Ch. 7.2 - Prob. 40ECh. 7.2 - PRODUCERS' SURPLUS FOR MULTITASK DF.SK LAMPS Refer...Ch. 7.2 - Prob. 42ECh. 7.2 - FRANCHISES Elaine purchased a 10-year franchise...Ch. 7.2 - Prob. 44ECh. 7.2 - Prob. 45ECh. 7.2 - Prob. 46ECh. 7.2 - Prob. 47ECh. 7.3 - Prob. 1CQCh. 7.3 - Prob. 1ECh. 7.3 - Prob. 2ECh. 7.3 - Prob. 3ECh. 7.3 - Prob. 4ECh. 7.3 - Prob. 5ECh. 7.3 - Prob. 6ECh. 7.3 - In Exercises 114, use the Trapezoidal Rule and...Ch. 7.3 - Prob. 8ECh. 7.3 - In Exercises 114, use the Trapezoidal Rule and...Ch. 7.3 - Prob. 10ECh. 7.3 - In Exercises 114, use the Trapezoidal Rule and...Ch. 7.3 - Prob. 12ECh. 7.3 - Prob. 13ECh. 7.3 - Prob. 14ECh. 7.3 - In Exercises 1522, use the Trapezoidal Rule and...Ch. 7.3 - Prob. 16ECh. 7.3 - Prob. 17ECh. 7.3 - Prob. 18ECh. 7.3 - In Exercises 1522, use the Trapezoidal Rule and...Ch. 7.3 - Prob. 20ECh. 7.3 - Prob. 21ECh. 7.3 - Prob. 22ECh. 7.3 - Prob. 23ECh. 7.3 - Prob. 24ECh. 7.3 - Prob. 25ECh. 7.3 - Prob. 26ECh. 7.3 - Prob. 27ECh. 7.3 - Prob. 28ECh. 7.3 - Prob. 29ECh. 7.3 - Prob. 30ECh. 7.3 - Prob. 31ECh. 7.3 - SURFACE AREA OF THE JACQUELINE KENNEDY ONASSIS...Ch. 7.3 - Prob. 33ECh. 7.3 - Prob. 34ECh. 7.3 - Prob. 35ECh. 7.3 - Prob. 36ECh. 7.3 - Prob. 37ECh. 7.3 - Prob. 38ECh. 7.3 - Prob. 39ECh. 7.3 - CONSUMERS SURPLUS FOR SPORTS WATCHES Refer to...Ch. 7.3 - Prob. 41ECh. 7.3 - Prob. 42ECh. 7.3 - Prob. 43ECh. 7.3 - Prob. 44ECh. 7.3 - Prob. 45ECh. 7.3 - Prob. 46ECh. 7.3 - Prob. 47ECh. 7.3 - Prob. 48ECh. 7.3 - Prob. 49ECh. 7.3 - Prob. 50ECh. 7.3 - Prob. 51ECh. 7.3 - Prob. 52ECh. 7.4 - a. Define 0f(x)dx, where f is continuous on [a, )...Ch. 7.4 - Prob. 2CQCh. 7.4 - In Exercises 1-4, find the area of the shaded...Ch. 7.4 - Prob. 2ECh. 7.4 - Prob. 3ECh. 7.4 - In Exercises 1-4, find the area of the shaded...Ch. 7.4 - Prob. 5ECh. 7.4 - Prob. 6ECh. 7.4 - In Exercises 5-14. find the area of the region...Ch. 7.4 - Prob. 8ECh. 7.4 - In Exercises 5-14. find the area of the region...Ch. 7.4 - In Exercises 5-14. find the area of the region...Ch. 7.4 - In Exercises 5-14. find the area of the region...Ch. 7.4 - Prob. 12ECh. 7.4 - Prob. 13ECh. 7.4 - Prob. 14ECh. 7.4 - Find the area of the region bounded by the x-axis...Ch. 7.4 - Prob. 16ECh. 7.4 - Prob. 17ECh. 7.4 - Prob. 18ECh. 7.4 - Prob. 19ECh. 7.4 - Prob. 20ECh. 7.4 - Prob. 21ECh. 7.4 - Prob. 22ECh. 7.4 - Prob. 23ECh. 7.4 - Prob. 24ECh. 7.4 - Prob. 25ECh. 7.4 - Prob. 26ECh. 7.4 - Prob. 27ECh. 7.4 - Prob. 28ECh. 7.4 - Prob. 29ECh. 7.4 - Prob. 30ECh. 7.4 - In Exercises 19-46, evaluate each improper...Ch. 7.4 - Prob. 32ECh. 7.4 - Prob. 33ECh. 7.4 - Prob. 34ECh. 7.4 - In Exercises 19-46, evaluate each improper...Ch. 7.4 - Prob. 36ECh. 7.4 - Prob. 37ECh. 7.4 - Prob. 38ECh. 7.4 - In Exercises 19-46, evaluate each improper...Ch. 7.4 - Prob. 40ECh. 7.4 - Prob. 41ECh. 7.4 - In Exercises 19-46, evaluate each improper...Ch. 7.4 - Prob. 44ECh. 7.4 - In Exercises 19-46, evaluate each improper...Ch. 7.4 - Prob. 46ECh. 7.4 - Prob. 47ECh. 7.4 - Prob. 48ECh. 7.4 - Prob. 49ECh. 7.4 - PERPETUAL NET INCOME STREAMS The present value of...Ch. 7.4 - ESTABLISHING A TRUST FUND Becky Wilkinson wants to...Ch. 7.4 - PERPETUAL NET INCOME STREAM The perpetual stream...Ch. 7.4 - Prob. 53ECh. 7.4 - Prob. 54ECh. 7.4 - Prob. 55ECh. 7.4 - Prob. 56ECh. 7.4 - Prob. 57ECh. 7.4 - Prob. 58ECh. 7.4 - Prob. 59ECh. 7.4 - Prob. 60ECh. 7.5 - Prob. 1CQCh. 7.5 - Prob. 2CQCh. 7.5 - Prob. 3CQCh. 7.5 - Prob. 1ECh. 7.5 - Prob. 2ECh. 7.5 - Prob. 3ECh. 7.5 - Prob. 4ECh. 7.5 - Prob. 5ECh. 7.5 - Prob. 6ECh. 7.5 - Prob. 7ECh. 7.5 - Prob. 8ECh. 7.5 - Prob. 9ECh. 7.5 - Prob. 10ECh. 7.5 - Prob. 11ECh. 7.5 - Prob. 12ECh. 7.5 - Prob. 13ECh. 7.5 - Prob. 14ECh. 7.5 - Prob. 15ECh. 7.5 - Prob. 16ECh. 7.5 - Prob. 17ECh. 7.5 - Prob. 18ECh. 7.5 - Prob. 19ECh. 7.5 - Prob. 20ECh. 7.5 - Prob. 21ECh. 7.5 - Prob. 22ECh. 7.5 - Prob. 23ECh. 7.5 - Prob. 24ECh. 7.5 - Prob. 25ECh. 7.5 - Prob. 26ECh. 7.5 - Prob. 27ECh. 7.5 - Prob. 28ECh. 7.5 - Prob. 29ECh. 7.5 - Prob. 30ECh. 7.5 - Prob. 31ECh. 7.5 - Prob. 32ECh. 7.5 - Prob. 33ECh. 7 - Prob. 1CRQCh. 7 - Prob. 2CRQCh. 7 - Prob. 3CRQCh. 7 - Prob. 4CRQCh. 7 - Prob. 5CRQCh. 7 - Prob. 6CRQCh. 7 - Prob. 1RECh. 7 - Prob. 2RECh. 7 - Prob. 3RECh. 7 - In Exercises 1-6, evaluate the integral. 4....Ch. 7 - Prob. 5RECh. 7 - Prob. 6RECh. 7 - Prob. 7RECh. 7 - Prob. 8RECh. 7 - Prob. 9RECh. 7 - Prob. 10RECh. 7 - Prob. 11RECh. 7 - Prob. 12RECh. 7 - Prob. 13RECh. 7 - Prob. 14RECh. 7 - Prob. 15RECh. 7 - Prob. 16RECh. 7 - Prob. 17RECh. 7 - Prob. 18RECh. 7 - Prob. 19RECh. 7 - Prob. 20RECh. 7 - Prob. 21RECh. 7 - Prob. 22RECh. 7 - Prob. 23RECh. 7 - Prob. 24RECh. 7 - Prob. 25RECh. 7 - Prob. 26RECh. 7 - Prob. 27RECh. 7 - Prob. 28RECh. 7 - Prob. 29RECh. 7 - Prob. 30RECh. 7 - Prob. 31RECh. 7 - Prob. 32RECh. 7 - Prob. 33RECh. 7 - Prob. 34RECh. 7 - Prob. 1BMCh. 7 - Prob. 2BMCh. 7 - Prob. 3BMCh. 7 - Prob. 4BMCh. 7 - Prob. 5BMCh. 7 - Prob. 6BM
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